Explain how to check the quotation from a division problem

Mathematics

1 answer:

Vesnalui [34]4 years ago

3 0

You can multiply the quotient by the divisor, and if you have the result of the dividend, then the quotient is correct.

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Arithmetic sequence help!!!

LenKa [72]

Note that you are subtracting 6 each time.

5 terms have been shown.

Multiply -6 with 7 (as you are trying to find the 12th term)

-6(7) = -42

Add - 42 with -25

(-42) + (-25) = -67

(D) -67 is your answer

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3 years ago

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ElenaW [278]

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Bingel [31]

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Step-by-step explanation:

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3 years ago

A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height

melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

$x\geq 0$

The height of the food packet cannot be a negative value, so

$f(x)\geq 0$

We need to replace $-15x^2+6000$ for f(x) in the above inequality to find the domain.

$-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0$

The possible solutions of the above inequality are given by the intervals $(-\infty , -2], [-2,2], [2,\infty )$ . We need to pick test point from each possible solution interval and check whether that test point make the inequality $(x+200)(x-200)\leq 0$ true. Only the test point from the solution interval [-200, 200] make the inequality true.